{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在深度学习中，数据归一化是一种常见的数据预处理手段，其目的是将数据映射到同一量纲，以便于模型训练。下面是一些常见的数据归一化方法：\n",
    "\n",
    "1. 最小-最大归一化（Min-Max Normalization）\n",
    "这种方法通过将数据缩放到一个特定范围，通常是[0,1]或[-1,1]，来实现归一化。其公式为：\n",
    "```\n",
    "normalized_data = (data - min) / (max - min)\n",
    "```\n",
    "\n",
    "2. 均值方差归一化（Mean-Variance Normalization）\n",
    "这种方法通过将数据缩放，使其均值为0，方差为1，来实现归一化。其公式为：\n",
    "```\n",
    "normalized_data = (data - mean) / std\n",
    "```\n",
    "其中，`mean`是数据的均值，`std`是数据的标准差。\n",
    "\n",
    "3. L2正则化（L2 Normalization）\n",
    "这种方法通过将数据向量单位化，使其每个元素平方和的平方根为1，来实现归一化。其公式为：\n",
    "```\n",
    "normalized_data = data / np.sqrt(np.sum(data**2))\n",
    "```\n",
    "这种方法常用于对向量进行归一化。\n",
    "\n",
    "在实现这些归一化方法时，通常需要首先计算数据集的统计量，如最大值、最小值、均值和方差，然后对每个数据进行相应的转换。在深度学习中，这些操作通常可以通过现成的库，如TensorFlow或PyTorch，来实现。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "notebookRunGroups": {
     "groupValue": "1"
    }
   },
   "source": [
    "均值（Mean），方差（Variance），标准差（Standard Deviation）是统计学中三个重要的概念，它们之间存在一定的关系。\n",
    "\n",
    "1. 均值（Mean）：\n",
    "均值是表示一组数据平均值的一个指标。计算公式为：均值 = 数据之和 / 数据个数。\n",
    "\n",
    "2. 方差（Variance）：\n",
    "方差是表示一组数据离散程度的一个指标。计算公式为：方差 = 数据平方差之和 / 数据个数。\n",
    "\n",
    "3. 标准差（Standard Deviation）：\n",
    "标准差是方差的平方根，用于表示一组数据的标准差。计算公式为：标准差 = 方差的平方根。\n",
    "\n",
    "关系：\n",
    "\n",
    "- 均值是方差的平均值。\n",
    "- 方差是标准差的平方。\n",
    "- 标准差是方差的平方根。\n",
    "\n",
    "例如，有一组数据：1, 2, 3, 4, 5\n",
    "\n",
    "- 均值 = (1 + 2 + 3 + 4 + 5) / 5 = 3\n",
    "- 方差 = (1 - 3)^2 + (2 - 3)^2 + (3 - 3)^2 + (4 - 3)^2 + (5 - 3)^2 = 2\n",
    "- 标准差 = 方差的平方根 = 2\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mean:5.0 y_var:8.501683501683502 std:2.9157646512850626\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Generate data\n",
    "x = np.linspace(0, 10, 100)\n",
    "y_mean = np.mean(x)\n",
    "y_var = np.var(x)\n",
    "y_std = np.std(x)\n",
    "\n",
    "print(f\"mean:{y_mean} y_var:{y_var} std:{y_std}\")\n",
    "# Plot the relationships\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(x, x, c='blue', label='Data points')\n",
    "plt.plot(x, y_mean * np.ones_like(x), 'r--', label='Mean')\n",
    "plt.plot(x, y_mean + y_std * np.ones_like(x), 'g--', label='Mean + Standard Deviation')\n",
    "plt.plot(x, y_mean - y_std * np.ones_like(x), 'g--', label='Mean - Standard Deviation')\n",
    "plt.plot(x, x - y_std * np.ones_like(x), 'b--', label='Data points - Standard Deviation')\n",
    "plt.plot(x, x + y_std * np.ones_like(x), 'b--', label='Data points + Standard Deviation')\n",
    "plt.xlabel('Data')\n",
    "plt.ylabel('Value')\n",
    "plt.title('Relationship between Mean, Variance, and Standard Deviation')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
